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Finding the Fourth Proportional to 497,320.75, 686,003.48 and 303,640.03

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Solution

The fourth proportional to 497,320.75, 686,003.48 and 303,640.03 is: 418,840.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,320.75 : 686,003.48 = 303,640.03 : x
  2. Step 2: Convert to fraction form
    497,320.75/686,003.48 = 303,640.03/x
  3. Step 3: Cross multiply
    497,320.75x = 686,003.48 × 303,640.03
  4. Step 4: Simplify right side
    497,320.75x = 208,298,117,247.30
  5. Step 5: Solve for x
    x = 208,298,117,247.30/497,320.75
  6. Step 6: Final answer
    x = 418,840.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.